What is the Greatest Common Factor of 75376 and 75395?

Greatest common factor (GCF) of 75376 and 75395 is 1.

GCF(75376,75395) = 1

We will now calculate the prime factors of 75376 and 75395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75376 and 75395.

How to find the GCF of 75376 and 75395?

We will first find the prime factorization of 75376 and 75395. After we will calculate the factors of 75376 and 75395 and find the biggest common factor number .

Step-1: Prime Factorization of 75376

Prime factors of 75376 are 2, 7, 673. Prime factorization of 75376 in exponential form is:

75376 = 2⁴ × 7¹ × 673¹

Step-2: Prime Factorization of 75395

Prime factors of 75395 are 5, 17, 887. Prime factorization of 75395 in exponential form is:

75395 = 5¹ × 17¹ × 887¹

Step-3: Factors of 75376

List of positive integer factors of 75376 that divides 75376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 673, 1346, 2692, 4711, 5384, 9422, 10768, 18844, 37688

Step-4: Factors of 75395

List of positive integer factors of 75395 that divides 75376 without a remainder.

1, 5, 17, 85, 887, 4435, 15079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75376 and 75395. The biggest common factor number is the GCF number.
So the greatest common factor 75376 and 75395 is 1.

Also check out the Least Common Multiple of 75376 and 75395